Question

One ticket is selected at random from 100 tickets numbered 0.0, 01, 02, ……, 99. Suppose x is the sum of digits and y is the product of digits, then the probability that x = 9 and y = 0 is ____________.

Options

• `2/17`

• `3/27`

• `1/50`

• `1/25`

Answer 1

One ticket is selected at random from 100 tickets numbered 0.0, 01, 02, ……, 99. Suppose x is the sum of digits and y is the product of digits, then the probability that x = 9 and y = 0 is `underline(1/50)`.

Explanation:

Sum of digits = 9 and product = 0

∴ The number is either 09 or 90.
`therefore "Required probability" = 2/100 = 1/50`